PLEASE NOTE: This Identity has been been retired and is no longer being kept current.
Serre, JeanPierre Mathematiker, Frankreich 1926 
Overview
Works:  10 works in 27 publications in 3 languages and 83 library holdings 

Genres:  Records and correspondence Sources History 
Roles:  Author 
Classifications:  QA3, 512.2 
Publication Timeline
.
Most widely held works by
JeanPierre Serre
Galois cohomology by
JeanPierre Serre(
Book
)
10 editions published between 1964 and 1997 in French and German and held by 20 WorldCat member libraries worldwide
Annotation
10 editions published between 1964 and 1997 in French and German and held by 20 WorldCat member libraries worldwide
Annotation
Lie algebras and Lie groups; 1964 lectures given at Harvard University by
JeanPierre Serre(
Book
)
5 editions published between 1965 and 2006 in English and held by 13 WorldCat member libraries worldwide
This book reproduces JP. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on padic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large
5 editions published between 1965 and 2006 in English and held by 13 WorldCat member libraries worldwide
This book reproduces JP. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on padic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large
Trees by
JeanPierre Serre(
Book
)
2 editions published between 1977 and 2003 in French and English and held by 9 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
2 editions published between 1977 and 2003 in French and English and held by 9 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
Gesammelte Abhandlungen by
Ferdinand Georg Frobenius(
Book
)
in German and held by 7 WorldCat member libraries worldwide
in German and held by 7 WorldCat member libraries worldwide
Die De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper by
Reinhardt Kiehl(
Book
)
1 edition published in 1967 in German and held by 6 WorldCat member libraries worldwide
1 edition published in 1967 in German and held by 6 WorldCat member libraries worldwide
Algèbres de Lie semisimples complexes by
JeanPierre Serre(
Book
)
2 editions published between 1966 and 2001 in English and held by 6 WorldCat member libraries worldwide
These short notes, already wellknown in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study
2 editions published between 1966 and 2001 in English and held by 6 WorldCat member libraries worldwide
These short notes, already wellknown in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study
Exposés de séminaires, 19501999 by
JeanPierre Serre(
Book
)
2 editions published between 2007 and 2008 in French and held by 4 WorldCat member libraries worldwide
2 editions published between 2007 and 2008 in French and held by 4 WorldCat member libraries worldwide
Linear representations of finite groups by
JeanPierre Serre(
Book
)
2 editions published between 1977 and 1982 in French and English and held by 3 WorldCat member libraries worldwide
This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to secondyear students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Several Applications to the Artin representation are given
2 editions published between 1977 and 1982 in French and English and held by 3 WorldCat member libraries worldwide
This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to secondyear students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Several Applications to the Artin representation are given
GrothendieckSerre correspondence by
A Grothendieck(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
"The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J.P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the lefthand pages and the corresponding English text printed on the righthand pages. The book also includes several facsimiles of original letters." "The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schernes, RiemannRoch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.) Also included are a few letters written between 1984 and 1987. The letters are supplemented by J.P. Serre's notes, which give explanations, corrections, and references further results." "The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created."BOOK JACKET
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
"The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J.P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the lefthand pages and the corresponding English text printed on the righthand pages. The book also includes several facsimiles of original letters." "The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schernes, RiemannRoch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.) Also included are a few letters written between 1984 and 1987. The letters are supplemented by J.P. Serre's notes, which give explanations, corrections, and references further results." "The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created."BOOK JACKET
Lectures on Nx(p) by
JeanPierre Serre(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
"This book deals with the question on how N_X(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in lacic cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic geometry."
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
"This book deals with the question on how N_X(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in lacic cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic geometry."
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Serre, JeanPierre Mathématicien, France 1926 
 Serre, JeanPierre Mathematician, France 1926 
 Serre, JeanPierre Author
 Frobenius, Ferdinand Georg Mathematician 18491917
 Kiehl, Reinhardt
 Boardman, J.M.
 Kuiper, Nicolaas H. Mathématicien, PaysBas, France 1920  1994
 Milnor, John Willard Mathématicien, EtatsUnis 1931 .
 Bass, Hyman Mathematician 1932 .
 Grothendieck, Alexandre Mathematiker, Deutschland, Frankreich 1928
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Cohomology operations Colmez, Pierre Field theory (Physics) Finite groups France Free groups Galois cohomology Galois theory Geometry, Algebraic Grothendieck, A.(Alexandre) Group theory Homology theory Lie algebras Lie groups Linear algebraic groups Manifolds (Mathematics) Mathematical analysis Mathematicians Mathematics Number theory Polynomials Representations of groups Serre, JeanPierre Serre, JeanPierre, Topological groups Topology Trees (Graph theory)